A value of b for which x²+bx-1=0 and x²+x+b=0 have one common root is (a) - 2 (b) -i 3 (c) i 5 (d) 2

Correct answer: (b) -i 3 Eliminating the common root gives b³+3b=0→ b=0 or b=± i 3; among the options, b=-i 3. JEE Advanced 2011 · Quadratic Equations and Inequations — verified solution by the Vidaara Team.

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[JEE Advanced 2011] a value of b for which x 2 bx 1 0 and x 2

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A value of $b$ for which $x^2+bx-1=0$ and $x^2+x+b=0$ have one common root is

(a) $-\sqrt2$
(b) $-i\sqrt3$
(c) $i\sqrt5$
(d) $\sqrt2$

1 Answer

VAVidaara Admin ✓ Vidaara Team ✓ Accepted · 4d ago ▲ 0

Correct answer: (b) $-i\sqrt3$

Eliminating the common root gives $b^3+3b=0\Rightarrow b=0$ or $b=\pm i\sqrt3$; among the options, $b=-i\sqrt3$.

JEE Advanced 2011 · Quadratic Equations and Inequations — verified solution by the Vidaara Team.

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